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Finding the Fourth Proportional to 299.28, 413.12 and 258

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Solution

The fourth proportional to 299.28, 413.12 and 258 is: 356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 413.12 = 258 : x
  2. Step 2: Convert to fraction form
    299.28/413.12 = 258/x
  3. Step 3: Cross multiply
    299.28x = 413.12 × 258
  4. Step 4: Simplify right side
    299.28x = 106,584.96
  5. Step 5: Solve for x
    x = 106,584.96/299.28
  6. Step 6: Final answer
    x = 356.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.